Examples of Geometric Series
Some examples of geometric series are:
- 2, 4, 8, 16, 32, 64, 128, . . . (Common Ratio = 2)
- 9, 3, 1, 1/3, 1/9, 1/27, . . . (Common Ratio = 1/3)
- 4, 4, 4, 4, 4, . . . (Common Ratio = 1)
The nth term of GP can be derived as follows:
an = arn-1
How to Find the Sum of Geometric Series
A geometric series is a sequence of numbers where each term after the first term is found by multiplying the previous term by a fixed, non-zero number called the common ratio. In a geometric series, if the absolute value of the common ratio (∣r∣) is less than 1, the series converges to a finite value. Otherwise, it diverges (grows without bound). Let’s know more about sum of Geometric Series formula, derivation and examples in detail below.
Contact Us